Question

what is the area of this figure? 2 mm 1 mm 5 mm 5 mm 8 mm 5 mm 2 mm 2 mm square millimeters

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into three rectangles.

Step2: Calculate the area of the first rectangle

The first rectangle has dimensions 2 mm by 1 mm. Its area $A_1$ is $A_1 = 2\times1=2$ $mm^2$.

Step3: Calculate the area of the second rectangle

The second rectangle has dimensions $(2 + 5)$ mm by 5 mm. Its area $A_2=(2 + 5)\times5=35$ $mm^2$.

Step4: Calculate the area of the third rectangle

The third rectangle has dimensions 2 mm by 2 mm. Its area $A_3 = 2\times2 = 4$ $mm^2$.

Step5: Calculate the total area

The total area $A$ of the figure is $A=A_1+A_2+A_3=2 + 35+4=41$ $mm^2$.

Answer:

41 square millimeters